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<div class="title">FFTReal.h</div>  </div>
</div><!--header-->
<div class="contents">
<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*****************************************************************************</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">*                                                                            *</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">*       DIGITAL SIGNAL PROCESSING TOOLS                                      *</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">*       Version 1.03, 2001/06/15                                             *</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">*       (c) 1999 - Laurent de Soras                                          *</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">*                                                                            *</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">*       FFTReal.h                                                            *</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">*       Fourier transformation of real number arrays.                        *</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">*       Portable ISO C++                                                     *</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">*                                                                            *</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">* Tab = 3                                                                    *</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">*****************************************************************************/</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;</div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="preprocessor">#if defined (FFTReal_CURRENT_HEADER)</span></div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="preprocessor"></span><span class="preprocessor">        #error Recursive inclusion of FFTReal header file.</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define FFTReal_CURRENT_HEADER</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="preprocessor">#if ! defined (FFTReal_HEADER_INCLUDED)</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#define FFTReal_HEADER_INCLUDED</span></div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="preprocessor">#if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#pragma pack (push, 8)</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif  // _MSC_VER</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="keyword">typedef</span> <span class="keywordtype">double</span> flt_t;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="code" href="class_f_f_t_real.html">   33</a></span>&#160;<span class="keyword">class   </span><a class="code" href="class_f_f_t_real.html">FFTReal</a></div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;{</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment">/*\\\ PUBLIC \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">public</span>:</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;        <span class="comment">/* Change this typedef to use a different floating point type in your FFTs</span></div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;<span class="comment">                (i.e. float, double or long double). */</span></div>
<div class="line"><a name="l00042"></a><span class="lineno"><a class="code" href="class_f_f_t_real.html#ad9963e87c98cfa8a55544cd162e3fece">   42</a></span>&#160;    <span class="keyword">typedef</span> <span class="keywordtype">double</span>      <a class="code" href="class_f_f_t_real.html#ad9963e87c98cfa8a55544cd162e3fece">flt_t</a>;</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;        <span class="keyword">explicit</span>                        <a class="code" href="class_f_f_t_real.html#ac98f9b768dc122c212b6f6e4ce878e18">FFTReal</a> (<span class="keyword">const</span> <span class="keywordtype">long</span> length);</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                                                <a class="code" href="class_f_f_t_real.html#a28ef7dceefba4ab73b3fecdb68a56334">~FFTReal</a> ();</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;        <span class="keywordtype">void</span>                            <a class="code" href="class_f_f_t_real.html#aaef06fd9a9f9e070c5a64b8c4191c1b7">do_fft</a> (<a class="code" href="class_f_f_t_real.html#ad9963e87c98cfa8a55544cd162e3fece">flt_t</a> f [], <span class="keyword">const</span> <a class="code" href="class_f_f_t_real.html#ad9963e87c98cfa8a55544cd162e3fece">flt_t</a> x []) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;        <span class="keywordtype">void</span>                            <a class="code" href="class_f_f_t_real.html#a8a09a4f467150be6714a2895654e9c83">do_ifft</a> (<span class="keyword">const</span> <a class="code" href="class_f_f_t_real.html#ad9963e87c98cfa8a55544cd162e3fece">flt_t</a> f [], <a class="code" href="class_f_f_t_real.html#ad9963e87c98cfa8a55544cd162e3fece">flt_t</a> x []) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordtype">void</span>                            <a class="code" href="class_f_f_t_real.html#abf221c16cff2a4787765f4258c567a3a">rescale</a> (<a class="code" href="class_f_f_t_real.html#ad9963e87c98cfa8a55544cd162e3fece">flt_t</a> x []) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="comment">/*\\\ PRIVATE \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/</span></div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        <span class="comment">/* Bit-reversed look-up table nested class */</span></div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keyword">class </span>BitReversedLUT</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;        {</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;                <span class="keyword">explicit</span>                        BitReversedLUT (<span class="keyword">const</span> <span class="keywordtype">int</span> nbr_bits);</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;                                                        ~BitReversedLUT ();</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;                <span class="keyword">const</span> <span class="keywordtype">long</span> *    get_ptr ()<span class="keyword"> const</span></div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="keyword">                </span>{</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;                        <span class="keywordflow">return</span> (_ptr);</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;                }</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        <span class="keyword">private</span>:</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;                <span class="keywordtype">long</span> *                  _ptr;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;        };</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        <span class="comment">/* Trigonometric look-up table nested class */</span></div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;        <span class="keyword">class   </span>TrigoLUT</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        {</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;        <span class="keyword">public</span>:</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;                <span class="keyword">explicit</span>                        TrigoLUT (<span class="keyword">const</span> <span class="keywordtype">int</span> nbr_bits);</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;                                                        ~TrigoLUT ();</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;                <span class="keyword">const</span> flt_t     *       get_ptr (<span class="keyword">const</span> <span class="keywordtype">int</span> level)<span class="keyword"> const</span></div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="keyword">                </span>{</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;                        <span class="keywordflow">return</span> (_ptr + (1L &lt;&lt; (level - 1)) - 4);</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;                };</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;        <span class="keyword">private</span>:</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;                flt_t   *                       _ptr;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        };</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <span class="keyword">const</span> BitReversedLUT    _bit_rev_lut;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <span class="keyword">const</span> TrigoLUT  _trigo_lut;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keyword">const</span> flt_t             _sqrt2_2;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">long</span>              _length;</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <span class="keyword">const</span> <span class="keywordtype">int</span>               _nbr_bits;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        flt_t *                 _buffer_ptr;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="comment">/*\\\ FORBIDDEN MEMBER FUNCTIONS \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/</span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;<span class="keyword">private</span>:</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                                                <a class="code" href="class_f_f_t_real.html#ac98f9b768dc122c212b6f6e4ce878e18">FFTReal</a> (<span class="keyword">const</span> <a class="code" href="class_f_f_t_real.html">FFTReal</a> &amp;other);</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;        <span class="keyword">const</span> <a class="code" href="class_f_f_t_real.html">FFTReal</a>&amp;  operator = (<span class="keyword">const</span> <a class="code" href="class_f_f_t_real.html">FFTReal</a> &amp;other);</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;        <span class="keywordtype">int</span>                             operator == (<span class="keyword">const</span> <a class="code" href="class_f_f_t_real.html">FFTReal</a> &amp;other);</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;        <span class="keywordtype">int</span>                             operator != (<span class="keyword">const</span> <a class="code" href="class_f_f_t_real.html">FFTReal</a> &amp;other);</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;};</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;<span class="preprocessor">#if defined (_MSC_VER)</span></div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#pragma pack (pop)</span></div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif  // _MSC_VER</span></div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;<span class="preprocessor">#endif  // FFTReal_HEADER_INCLUDED</span></div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;<span class="preprocessor">#undef FFTReal_CURRENT_HEADER</span></div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;<span class="comment">/*****************************************************************************</span></div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;<span class="comment">        LEGAL</span></div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;<span class="comment">        Source code may be freely used for any purpose, including commercial</span></div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="comment">        applications. Programs must display in their &quot;About&quot; dialog-box (or</span></div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;<span class="comment">        documentation) a text telling they use these routines by Laurent de Soras.</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;<span class="comment">        Modified source code can be distributed, but modifications must be clearly</span></div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;<span class="comment">        indicated.</span></div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="comment">        CONTACT</span></div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;<span class="comment">        Laurent de Soras</span></div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;<span class="comment">        92 avenue Albert 1er</span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;<span class="comment">        92500 Rueil-Malmaison</span></div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;<span class="comment">        France</span></div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;<span class="comment">        ldesoras@club-internet.fr</span></div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;<span class="comment"></span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="comment">*****************************************************************************/</span></div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;<span class="comment">/*\\\ EOF \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*/</span></div>
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